What 2 square numbers subtract to make 8472?

What two square numbers subtract to make 8472? In other words, when you subtract one square number from another square number, the answer is 8472. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 8472

We solved the equation above and found this to be true:

359² - 347² = 8472

359² is 128881 and 347² is 120409, therefore the answer to the question "What 2 square numbers subtract to make 8472?" is 128881 and 120409 as illustrated below:

128881 - 120409 = 8472

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 8472. Below we list alternate solutions if available.

502681 - 494209 = 8472

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